Constructive and destructive

Slides:

Advertisements

Similar presentations

Today’s summary Polarization Energy / Poynting’s vector

Advertisements

Today’s summary • A new look at propagation and phase delays

Answer the following… 17. What happens to the amplitude of a pulse as it travels down the slinky and back? 18. What happens to the speed of a pulse as.

SUPERPOSITION OF WAVES Waves of different k vector, same frequency Counter-propagating waves Intersecting waves Waves mixing (AOM) Co-propagating, random.

Waves and Transmission Lines Wang C. Ng. Traveling Waves.

Waves and Transmission Lines TechForce + Spring 2002 Externship Wang C. Ng.

White n t Wavelength (nm) R t = 400 nm, n = 1.515,  = 0.

The Propagation of Light

PHYS16 – Lecture 38 Ch. 16 Wave Motion “Interference is much clearer in HD”

Lecture 21 Superposition and Coherence. Schedule WeekTopicChapters Apr 7InterferenceCh. 7 and 9 Apr 14DiffractionCh Apr 21Diffraction/Polarization.

Chapter 25: Interference and Diffraction

Answer the following in your openers… 11. What happens to the amplitude of a pulse as it travels down the slinky and back? 12. What happens to the speed.

Processes altering seismic amplitudes

PHYS 218 sec Review Chap. 15 Mechanical Waves.

The speed of light is a constant because the electric and magnetic fields support each other. If the speed of light was not constant energy would not be.

By Bhaskar Department of Physics K L University. Lecture 2 (28 July) Interference.

The wave nature of light Interference Diffraction Polarization

SUPERPOSITION OF WAVES Waves of different k vector, same frequency Counter-propagating waves Intersecting waves Waves mixing (AOM) Co-propagating, random.

When you see interference and when you don’t

Chapter 15: Wave Motion 15-3 Energy Transported by Waves 15-4 Mathematical Representation of a Traveling Wave 15-5 The Wave Equation 15-6 The Principle.

Copyright © 2009 Pearson Education, Inc. Lecture 1 – Waves & Sound b) Wave Motion & Properties.

1 Electromagnetic waves Hecht, Chapter 2 Wednesday October 23, 2002.

So far, we have considered plane waves in an infinite homogeneous medium. A natural question would arise: what happens if a plane wave hits some object?

Electromagnetic waves: Reflection, Refraction and Interference

Reflection, Refraction, Diffraction, and Superposition!

 The behavior of a wave is greatly influenced by the medium in which it is traveling.  The wave frequency remains unchanged in different medium.  The.

1 Electromagnetic waves: Reflection, Transmission and Interference Monday October 28, 2002.

Reflection When a wave comes to the end of the medium it is traveling in, it is partially reflected back.

Reflection, Refraction, Diffraction, and Superposition!

What happens when two wave pulses collide?. Interference – Two waves “collide,” but pass through each other undamaged – Superposition Principle: when.

Waves Part II: Behavior. The Wave Machine Standing Waves Standing waves are a result of interference.

Chapter 10.2 Wave Interference and Diffraction Interference.

Ellipsometry: finding n,  or thicknesses, roughness… Wikipedia /ellipsometers/l116sf.htm starts linear, angle.

Interference. Overlap  Waves from multiple point sources overlap. Crest on crest Trough on trough Crest on trough  Overlapping waves add directly. Principle.

Fig. 13-CO, p Fig , p. 456 Fig , p. 457.

-Waves at Boundaries -Reflection -Interference of Waves Physics Mrs. Coyle Coyle, Greece, 2009, Island of Antipaxos.

Chapter 15: Wave Motion 15-2 Types of Waves: Transverse and Longitudinal 15-3 Energy Transported by Waves 15-4 Mathematical Representation of a Traveling.

Interaction light and substance. Thermal radiation bioobjects.

Interference and Diffraction

INTERFERENCE: In physics, interference is a phenomenon in which two waves superpose to form a resultant wave of greater, lower, or the same amplitude.

Reflection & Standing waves

The theory of diffraction

Purdue University, Physics 220

MECHANICAL WAVES AND SOUND

Chapter 18: Superposition and Standing Waves

AP Physics Section to Wave Behavior.

Reading Quiz When a light ray hits a surface, the plane which contains the incoming, reflected, and transmitted beams, is called the “plane of _________”:

Chapter 15: Wave motion.

1. Reflection 2. Refraction 3. Diffraction 4. Interference

Warm up 1/27-28 Copy Question explain your answer

Interference of Light.

15-1: Interference Interference, a phenomenon that occurs when two light beams meet. If the two beams enhance each other to give a brighter beam, it is.

Introduction to physics

Interaction light and substance. Thermal radiation bioobjects.

Wave Superposition.

Superposition Superposition is the ability of waves to superimpose (add displacements & energy) as they move through each other. Constructive interference.

The Speed of Light in Vacuum

Energy hn Photon Electron Frequency n “Size”? l = c/n momentum?

Wave Interference.

WAVES John Parkinson St. Brendan’s Sixth Form College John Parkinson

Electric field amplitude time A Bandwidth limited pulse

Chapter 15: Wave Motion Chapter opener. Caption: Waves—such as these water waves—spread outward from a source. The source in this case is a small spot.

-Waves at Boundaries -Reflection -Interference of Waves

Plane EM Wave: Oblique Incidence

Textbook: 14.3 Homework: Worksheet

Superposition Superposition is the ability of waves to superimpose (add displacements & energy) as they move through each other. Constructive interference.

Unit 4 - Energy Learning Target 4.5 – Understand & describe wave interference (constructive & destructive).

Section2 :Wave Properties Wave: disturbance that carries energy

Presentation transcript:

Constructive and destructive Waves of the same k vector, same frequency Superposition is just like adding two vectors , Constructive and destructive constructive destructive

Complex number Im Z = a + i b a = Re (z) b = Im (z) Z* = a - i b b z q Re a Add and subtract exponentials and trigonometric functions Plane waves, spherical waves

Waves of the same k vector, same frequency Example of a laser: Constructive interference: adding two co-propagating beams of amplitude The intensity in each beam is Incoherent sum: the total intensity is I = 2I0 Coherent constructive sum: the total intensity is I = 4I0 Coherent destructive sum: the total intensity is I = 0 What happened to energy conservation???

Waves of the same k vector, same frequency Energy conservation If the energy is lost by destructive interference, it has to reappear somewhere else by constructive interference A beam splitter is an element with a complex reflection coefficient and a complex transmission coefficient Incident intensity Reflected intensity Transmitted intensity Energy conservation:

Waves of the same k vector, same frequency Energy conservation If the energy is lost by destructive interference, it has to reappear somewhere else by constructive interference A beam splitter is an element with a complex reflection coefficient and a complex transmission coefficient Energy conservation:

Waves of the same k vector, same frequency Energy conservation Mach Zehnder: Michelson

Waves of the same k vector, same frequency Energy conservation Antiresonant ring